Ordered Regular Semigroups with Biggest Associates

We investigate the class BA of ordered regular semigroups in which each element has a biggest associate x† = max {y | xyx = x}. This class properly contains the class PO of principally ordered regular semigroups (in which there exists x⋆ = max {y | xyx ⩽x}) and is properly contained in the class BI...

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Bibliographic Details
Main Authors: Blyth T.S., Santos M.H. Almeida
Format: Article
Language:English
Published: University of Zielona Góra 2019-06-01
Series:Discussiones Mathematicae - General Algebra and Applications
Subjects:
Online Access:https://doi.org/10.7151/dmgaa.1299